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Finding the Fourth Proportional to 371,997.10, 513,360.31 and 206,428.46

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Solution

The fourth proportional to 371,997.10, 513,360.31 and 206,428.46 is: 284,873.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,997.10 : 513,360.31 = 206,428.46 : x
  2. Step 2: Convert to fraction form
    371,997.10/513,360.31 = 206,428.46/x
  3. Step 3: Cross multiply
    371,997.10x = 513,360.31 × 206,428.46
  4. Step 4: Simplify right side
    371,997.10x = 105,972,178,985.75
  5. Step 5: Solve for x
    x = 105,972,178,985.75/371,997.10
  6. Step 6: Final answer
    x = 284,873.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.